Is there a name for the multiplicity of each eigenvalue in the minimal polynomial of a linear operator?

Question

We know that when the characteristic polynomial of a linear operator $f$ can be written in the form: $$ \chi_f = \prod_i (x - \lambda_i)^{\mu_i}, $$ the number $\mu_i$ is called the algebraic multiplicity of the eigenvalue $\lambda_i$. My question is: when the minimal polynomial of a linear operator $f$ can be written in the form: $$ \pi_f = \prod_i (x - \lambda_i)^{d_i}, $$ what do we call the number $d_i$ associated to the eigenvalue $\lambda_i$? Thanks!